Category Archives: Geometry c 6 A-E Proof and congruence

(6) Proof and congruence. The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart. The student is expected to:
(A) verify [prove] theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal [,] and prove equidistance between the endpoints of a segment and points on its perpendicular bisector [,] and apply these relationships to solve problems;
(B) prove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Side-Side-Side, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions;
(C) apply the definition of congruence, in terms of rigid transformations, to identify congruent figures and their corresponding sides and angles;
(D) verify [prove] theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems; and
(E) prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals and apply these relationships to solve problems.

Lesson Plans for Sept.15-20

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GEOMETRY:

Monday Sept.15:  Holiday for Students, Staff Development

Tuesday Sept.16:  We will grade and go over 2.2 wkst and have a lesson on Deductive Reasoning, 2.2B.  The assignment is wkst 2.2B.

Wednesday Sept.17:  Students who want Extra Credit will take the Binder “Test”.  All students will complete Quiz 2.1-2.2.

Thursday Sept.18-Friday Sept.19:  We will have a lesson on Postulates and Diagrams, 2.3.  The assignments are online at bigideasmath.com and wkst 2.3.

HONORS GEOMETRY:

Monday Sept.15:  Holiday for Students, Staff Development

Tuesday Sept.16:  Students will complete the test review for 2.1-2.4 in preparation for a test.

Wednesday Sept.17:  TEST 2.1-2.4.

Thursday Sept.18-Friday Sept.19:  We will have a lesson on Proving Statements about Angles, 2.5.  Students will complete “The Givens” wkst, do a sorting activity with a partner to complete Exploration 2.5.

Lesson Plans for Sept. 8-12

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GEOMETRY:

Monday Sept.8:  We will go over the quiz and students will make corrections.  They will then complete Review 1.5-1.6 in preparation for the test.

Tuesday Sept.9:  Test 1.5-1.6

Wednesday Sept.10-Thursday Sept.11:  We will have a lesson on Conditionals and Biconditionals, 2.1.  The assignment is wkst 2.1A.

Friday Sept.12:  We will have a lesson on Inductive Reasoning, 2.2A.  The assignment is wkst 2.2A.

HONORS GEOMETRY:

Monday Sept.8:  We will have a lesson on Postulates/Diagrams, 2.3.  The assignment is page 87 #1-2,12-22even,23-24,30-32all.

Tuesday Sept.9:  Students will take Quiz 2.1-2.3/1.4.

Wednesday Sept.10-Thursday Sept.11:  We will have a lesson on Algebraic Reasoning and Properties, 2.4.  The assignment is wkst 2.4B.

Friday Sept.12:  We will have a “Go Over” day and go over the quiz, wksts 1.4A and B, pg 87, and we will grade wkst 2.4B.

NOTE:  MONDAY SEPT.15TH IS A STUDENT HOLIDAY! 🙂